{"id":1111,"date":"2020-03-06T11:33:22","date_gmt":"2020-03-06T11:33:22","guid":{"rendered":"http:\/\/ibalmaths.com\/?post_type=knowledgebase&#038;p=1111"},"modified":"2020-03-07T06:20:37","modified_gmt":"2020-03-07T06:20:37","slug":"ibdp-past-year-exam-questions-transformation","status":"publish","type":"knowledgebase","link":"https:\/\/ibalmaths.com\/index.php\/ibdp-math-hl-2\/transformation\/ibdp-past-year-exam-questions-transformation\/","title":{"rendered":"IBDP Past Year Exam Questions &#8211; Transformation"},"content":{"rendered":"<p><strong>Q1.\u00a0 \u00a0[N10.P2]<\/strong><\/p>\r\n<p>The diagram shows the graph of a linear function \u00a0and a quadratic function \u00a0<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1119\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-3.jpg\" alt=\"\" width=\"611\" height=\"334\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-3.jpg 611w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-3-300x164.jpg 300w\" sizes=\"auto, (max-width: 611px) 100vw, 611px\" \/><\/p>\r\n<p>On the same axes sketch the graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><mi>f<\/mi><mi>g<\/mi><\/mfrac><\/math>\r\n . Indicate clearly where the <em>x<\/em>-intercept and the asymptotes occur.\u00a0 \u00a0[5 marks]<\/p>\r\n<div id=\"link1-link-1111\" class=\"sh-link link1-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link1', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link1-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link1-content-1111\" class=\"sh-content link1-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1140\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-4.jpg\" alt=\"\" width=\"959\" height=\"759\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-4.jpg 959w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-4-300x237.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/1-4-768x608.jpg 768w\" sizes=\"auto, (max-width: 959px) 100vw, 959px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p>&nbsp;<\/p>\r\n<p><strong>Q2.\u00a0 \u00a0[M08.P2.TZ2]<\/strong><\/p>\r\n<p>The graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n for \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&#8211;<\/mo><mn>2<\/mn><mo>&#8804;<\/mo><mi>x<\/mi><mo>&#8804;<\/mo><mn>8<\/mn><\/math>\r\n is shown.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1115\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-1.jpg\" alt=\"\" width=\"389\" height=\"366\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-1.jpg 389w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-1-300x282.jpg 300w\" sizes=\"auto, (max-width: 389px) 100vw, 389px\" \/><\/p>\r\n<p>On the set of axes provided, sketch the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mrow><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/mrow><\/mfrac><\/math>\r\n , clearly showing any asymptotes and indicating the coordinates of any local maxima or minima.\u00a0 \u00a0 \u00a0[5marks]<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1120\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2a.jpg\" alt=\"\" width=\"390\" height=\"363\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2a.jpg 390w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2a-300x279.jpg 300w\" sizes=\"auto, (max-width: 390px) 100vw, 390px\" \/><\/p>\r\n<div id=\"link2-link-1111\" class=\"sh-link link2-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link2', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link2-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link2-content-1111\" class=\"sh-content link2-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1142\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-2.jpg\" alt=\"\" width=\"990\" height=\"949\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-2.jpg 990w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-2-300x288.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/2-2-768x736.jpg 768w\" sizes=\"auto, (max-width: 990px) 100vw, 990px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q3.\u00a0 \u00a0[M09.P2]<\/strong><\/p>\r\n<p><strong>(a)<\/strong> The graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>ln<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n is transformed into the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>ln<\/mi><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>\r\n <\/em>. Describe two transformations that are required to do this.\u00a0 \u00a0 [2marks]\u00a0 \u00a0<\/p>\r\n<p><strong>(b)<\/strong> Solve \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>ln<\/mi><mfenced><mrow><mn>2<\/mn><mi>x<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>&#62;<\/mo><mn>3<\/mn><mi>cos<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>x<\/mi><mo>&#8712;<\/mo><mo>[<\/mo><mn>0<\/mn><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mn>10<\/mn><mo>]<\/mo><\/math>\r\n .\u00a0 \u00a0 \u00a0 \u00a0[4 marks]<\/p>\r\n<div id=\"link3-link-1111\" class=\"sh-link link3-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link3', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link3-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link3-content-1111\" class=\"sh-content link3-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1144\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/3-1.jpg\" alt=\"\" width=\"950\" height=\"639\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/3-1.jpg 950w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/3-1-300x202.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/3-1-768x517.jpg 768w\" sizes=\"auto, (max-width: 950px) 100vw, 950px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q4.\u00a0 \u00a0[M15.P2]<\/strong><\/p>\r\n<p>The graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>ln<\/mi><mfenced><mrow><mn>5<\/mn><mi>x<\/mi><mo>+<\/mo><mn>10<\/mn><\/mrow><\/mfenced><\/math>\r\n is obtained from the graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>ln<\/mi><mi>x<\/mi><\/math>\r\n by a translation of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><\/math>\r\n <\/em>units in the direction\u00a0of the <em>x<\/em><em>&#8211;<\/em>axis followed by a translation of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>b<\/mi><\/math>\r\n <em>\u00a0<\/em>units in the direction of the <em>y<\/em><em>&#8211;<\/em>axis.<\/p>\r\n<p>(a) Find the value of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><\/math>\r\n <em>\u00a0<\/em>and the value of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>b<\/mi><\/math>\r\n <\/em>.\u00a0 \u00a0 \u00a0 \u00a0 [4 marks]<\/p>\r\n<div id=\"link4-link-1111\" class=\"sh-link link4-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link4', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link4-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link4-content-1111\" class=\"sh-content link4-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1145\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/4-1.jpg\" alt=\"\" width=\"1015\" height=\"645\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/4-1.jpg 1015w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/4-1-300x191.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/4-1-768x488.jpg 768w\" sizes=\"auto, (max-width: 1015px) 100vw, 1015px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q5.\u00a0 \u00a0[M12.P2]<\/strong><\/p>\r\n<p>Let \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><mi>ln<\/mi><mi>x<\/mi><\/math>\r\n . The graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><\/math>\r\n <em>\u00a0<\/em>is transformed into the graph of the function \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><\/math>\r\n <em>\u00a0<\/em>by a translation of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mtable><mtr><mtd><mn>3<\/mn><\/mtd><\/mtr><mtr><mtd><mo>&#8211;<\/mo><mn>2<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><\/math>\r\n , followed by a reflection in the <em>x<\/em>-axis. Find an expression for <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>, giving your answer as a single logarithm.\u00a0 \u00a0 \u00a0 \u00a0 [5 marks]\u00a0 \u00a0 \u00a0<\/p>\r\n<div id=\"link5-link-1111\" class=\"sh-link link5-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link5', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link5-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link5-content-1111\" class=\"sh-content link5-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1146\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-3.jpg\" alt=\"\" width=\"968\" height=\"343\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-3.jpg 968w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-3-300x106.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-3-768x272.jpg 768w\" sizes=\"auto, (max-width: 968px) 100vw, 968px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q6.\u00a0 \u00a0[N14.P1]<\/strong><\/p>\r\n<p>The function <em>f <\/em>is defined by\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><mfrac><mn>1<\/mn><mi>x<\/mi><\/mfrac><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>x<\/mi><mo>&#8800;<\/mo><mn>0<\/mn><\/math>\r\n . The graph of the function <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>\u00a0is obtained by applying the following transformations to the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>\u00a0:<\/p>\r\n<p>a translation by the vector ;<\/p>\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 a translation by the vector\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mtable><mtr><mtd><mo>&#8211;<\/mo><mn>3<\/mn><\/mtd><\/mtr><mtr><mtd><mn>0<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><\/math>\r\n ;<\/p>\r\n<p>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 a translation by the vector\u00a0\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mtable><mtr><mtd><mn>0<\/mn><\/mtd><\/mtr><mtr><mtd><mn>1<\/mn><\/mtd><\/mtr><\/mtable><\/mfenced><\/math>\r\n .<\/p>\r\n<p><strong>(a)<\/strong> Find an expression for <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>\u00a0.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0 [2 marks]\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/p>\r\n<p><strong>(b)<\/strong> State the equations of the asymptotes of the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><\/math>\r\n <\/em>.\u00a0 [2 marks]<\/p>\r\n<div id=\"link6-link-1111\" class=\"sh-link link6-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link6', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link6-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link6-content-1111\" class=\"sh-content link6-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1147\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-4.jpg\" alt=\"\" width=\"1019\" height=\"291\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-4.jpg 1019w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-4-300x86.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/6-4-768x219.jpg 768w\" sizes=\"auto, (max-width: 1019px) 100vw, 1019px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p>Q7.\u00a0 <strong>[M10.P1]<\/strong><\/p>\r\n<p>The graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfrac><mrow><mi>a<\/mi><mo>+<\/mo><mi>x<\/mi><\/mrow><mrow><mi>b<\/mi><mo>+<\/mo><mi>c<\/mi><mi>x<\/mi><\/mrow><\/mfrac><\/math>\r\n \u00a0 \u00a0is drawn below.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1124\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-1.jpg\" alt=\"\" width=\"578\" height=\"515\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-1.jpg 578w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-1-300x267.jpg 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/p>\r\n<p><strong>(a)<\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the value of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><\/math>\r\n <em>\u00a0<\/em>, the value of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>b<\/mi><\/math>\r\n <em>\u00a0<\/em>and the value of c<em>\u00a0<\/em>.\u00a0 \u00a0 \u00a0 \u00a0 [4marks]\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/p>\r\n<p><strong>(b)<\/strong> Using the values of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>b<\/mi><\/math>\r\n <\/em><em>\u00a0<\/em>and \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>c<\/mi><\/math>\r\n <em>\u00a0<\/em>found in part (a), sketch the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfenced open=\"|\" close=\"|\"><mfrac><mrow><mi>b<\/mi><mo>+<\/mo><mi>c<\/mi><mi>x<\/mi><\/mrow><mrow><mi>a<\/mi><mo>+<\/mo><mi>x<\/mi><\/mrow><\/mfrac><\/mfenced><\/math>\r\n on the axes below, showing clearly all intercepts and asymptotes.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1125\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7a.jpg\" alt=\"\" width=\"578\" height=\"515\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7a.jpg 578w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7a-300x267.jpg 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/p>\r\n<div id=\"link7-link-1111\" class=\"sh-link link7-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link7', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link7-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link7-content-1111\" class=\"sh-content link7-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1149\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-2.jpg\" alt=\"\" width=\"931\" height=\"649\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-2.jpg 931w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-2-300x209.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/7-2-768x535.jpg 768w\" sizes=\"auto, (max-width: 931px) 100vw, 931px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q8.\u00a0 \u00a0[M11.P1.TZ1]<\/strong><\/p>\r\n<p>The diagram below shows the graph of the function <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em> , defined for all\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>x<\/mi><mo>&#8712;<\/mo><mi mathvariant=\"normal\">&#8477;<\/mi><\/math>\r\n , where\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>b<\/mi><mo>&#62;<\/mo><mi>a<\/mi><mo>&#62;<\/mo><mn>0<\/mn><\/math>\r\n .<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1126\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-1.jpg\" alt=\"\" width=\"463\" height=\"273\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-1.jpg 463w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-1-300x177.jpg 300w\" sizes=\"auto, (max-width: 463px) 100vw, 463px\" \/><\/p>\r\n<p>Consider the function\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><mfrac><mn>1<\/mn><mrow><mi>f<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mi>a<\/mi><\/mrow><\/mfenced><mo>&#8211;<\/mo><mi>b<\/mi><\/mrow><\/mfrac><\/math>\r\n .<\/p>\r\n<p><strong>(a)<\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Find the largest possible domain of the function <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><\/math>\r\n <\/em>.\u00a0 \u00a0[2 marks]\u00a0\u00a0<\/p>\r\n<p><strong>(b)<\/strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 On the axes below, sketch the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em> . On the graph, indicate any asymptotes and local maxima or minima, and write down their equations and coordinates.\u00a0 \u00a0 \u00a0 [6 marks]<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1127\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8a.jpg\" alt=\"\" width=\"578\" height=\"517\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8a.jpg 578w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8a-300x268.jpg 300w\" sizes=\"auto, (max-width: 578px) 100vw, 578px\" \/><\/p>\r\n<div id=\"link8-link-1111\" class=\"sh-link link8-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link8', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link8-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link8-content-1111\" class=\"sh-content link8-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1150\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-2.jpg\" alt=\"\" width=\"948\" height=\"1123\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-2.jpg 948w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-2-253x300.jpg 253w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-2-864x1024.jpg 864w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/8-2-768x910.jpg 768w\" sizes=\"auto, (max-width: 948px) 100vw, 948px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q9.\u00a0 \u00a0[M12.P1]<\/strong><\/p>\r\n<p>The graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n is shown below, where A is a local maximum point and D is a local minimum point.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1129\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-3.jpg\" alt=\"\" width=\"343\" height=\"315\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-3.jpg 343w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-3-300x276.jpg 300w\" sizes=\"auto, (max-width: 343px) 100vw, 343px\" \/><\/p>\r\n<p><strong>(a)<\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 On the axes below, sketch the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mrow><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/mrow><\/mfrac><\/math>\r\n , clearly showing the coordinates of the images of the points A, B and D, labelling them \u00a0and \u00a0respectively and the equations of any vertical asymptotes.\u00a0 \u00a0 [3 marks]<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1130\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9a.jpg\" alt=\"\" width=\"351\" height=\"316\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9a.jpg 351w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9a-300x270.jpg 300w\" sizes=\"auto, (max-width: 351px) 100vw, 351px\" \/><\/p>\r\n<div id=\"link9-link-1111\" class=\"sh-link link9-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link9', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link9-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link9-content-1111\" class=\"sh-content link9-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1151\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-4.jpg\" alt=\"\" width=\"1097\" height=\"1171\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-4.jpg 1097w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-4-281x300.jpg 281w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-4-959x1024.jpg 959w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/9-4-768x820.jpg 768w\" sizes=\"auto, (max-width: 1097px) 100vw, 1097px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q10.\u00a0 \u00a0[M11.P1.TZ2]<\/strong><\/p>\r\n<p>The diagram shows the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>\u00a0. The graph has a horizontal asymptote at <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mn>2<\/mn><\/math>\r\n <\/em>\u00a0.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1133\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-3.jpg\" alt=\"\" width=\"634\" height=\"306\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-3.jpg 634w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-3-300x145.jpg 300w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/p>\r\n<p>(a) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Sketch the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <em>\u00a0<\/em>.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [3 marks]<\/p>\r\n<p>(b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Sketch the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>x<\/mi><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n .\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [3marks]\u00a0 \u00a0<\/p>\r\n<div id=\"link10-link-1111\" class=\"sh-link link10-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link10', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link10-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link10-content-1111\" class=\"sh-content link10-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1154\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-4.jpg\" alt=\"\" width=\"967\" height=\"1285\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-4.jpg 967w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-4-226x300.jpg 226w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-4-771x1024.jpg 771w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/10-4-768x1021.jpg 768w\" sizes=\"auto, (max-width: 967px) 100vw, 967px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q11.\u00a0 \u00a0[M12.P1.TZ1]<\/strong><\/p>\r\n<p>The graphs of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfenced open=\"|\" close=\"|\"><mrow><mi>x<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><\/math>\r\n and\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mfenced open=\"|\" close=\"|\"><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><\/math>\r\n are shown below.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1135\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-2.jpg\" alt=\"\" width=\"411\" height=\"405\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-2.jpg 411w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-2-300x296.jpg 300w\" sizes=\"auto, (max-width: 411px) 100vw, 411px\" \/><\/p>\r\n<p>Let\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><mfenced open=\"|\" close=\"|\"><mrow><mi>x<\/mi><mo>+<\/mo><mn>1<\/mn><\/mrow><\/mfenced><mo>&#8211;<\/mo><mfenced open=\"|\" close=\"|\"><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>3<\/mn><\/mrow><\/mfenced><\/math>\r\n .<\/p>\r\n<p>(a) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Draw the graph of\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n \u00a0on the blank grid below.\u00a0 \u00a0 \u00a0 \u00a0 [4 marks]\u00a0<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1136\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11a.jpg\" alt=\"\" width=\"414\" height=\"399\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11a.jpg 414w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11a-300x289.jpg 300w\" sizes=\"auto, (max-width: 414px) 100vw, 414px\" \/><\/p>\r\n<div id=\"link11-link-1111\" class=\"sh-link link11-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link11', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link11-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link11-content-1111\" class=\"sh-content link11-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1155\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-3.jpg\" alt=\"\" width=\"955\" height=\"942\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-3.jpg 955w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-3-300x296.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/11-3-768x758.jpg 768w\" sizes=\"auto, (max-width: 955px) 100vw, 955px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p><strong>Q12.\u00a0 \u00a0[M08.P2]<\/strong><\/p>\r\n<p>Let <em>\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><msup><mi>x<\/mi><mn>3<\/mn><\/msup><mo>+<\/mo><mi>a<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>+<\/mo><mi>b<\/mi><mi>x<\/mi><mo>+<\/mo><mi>c<\/mi><\/math>\r\n <\/em>, where\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>b<\/mi><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>c<\/mi><mo>&#160;<\/mo><mo>&#8712;<\/mo><mi mathvariant=\"normal\">&#8484;<\/mi><\/math>\r\n . The diagram shows the graph of <em> \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mi>f<\/mi><mfenced><mi>x<\/mi><\/mfenced><\/math>\r\n <\/em>\u00a0.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1137\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/12-1.jpg\" alt=\"\" width=\"642\" height=\"345\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/12-1.jpg 642w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/03\/12-1-300x161.jpg 300w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><\/p>\r\n<p>(a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Using the information shown in the diagram, find the values of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>b<\/mi><mo>&#160;<\/mo><mo>,<\/mo><mo>&#160;<\/mo><mi>c<\/mi><\/math>\r\n <em>\u00a0<\/em>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [4 marks]<\/p>\r\n<p>(b) \u00a0\u00a0\u00a0\u00a0\u00a0 If \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><mfenced><mi>x<\/mi><\/mfenced><mo>=<\/mo><mo>&#160;<\/mo><mn>3<\/mn><mo>&#160;<\/mo><mi>f<\/mi><mfenced><mrow><mi>x<\/mi><mo>&#8211;<\/mo><mn>2<\/mn><\/mrow><\/mfenced><\/math>\r\n \u00a0,<\/p>\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong> (i)<\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 state the coordinates of the points where the graph of \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>g<\/mi><\/math>\r\n intercepts the <em>x<\/em>-axis.<\/p>\r\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong>\u00a0\u00a0 (ii)<\/strong> \u00a0\u00a0\u00a0\u00a0\u00a0 Find the <em>y<\/em>-intercept of the graph of <em>g <\/em>.\u00a0 \u00a0[3 marks] \u00a0 \u00a0 \u00a0<\/p>\r\n<div id=\"link12-link-1111\" class=\"sh-link link12-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link12', 1111, 'Solution', 'Hide Solution'); return false;\" aria-expanded=\"false\"><span id=\"link12-toggle-1111\">Solution<\/span><\/a><\/div><div id=\"link12-content-1111\" class=\"sh-content link12-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p>&nbsp;<\/p>\r\n<p>\u00a0<\/div>\r\n<p>&nbsp;<\/p>\r\n<p>&nbsp;<\/p>\r\n<p>&nbsp;<\/p>\r\n<p>&nbsp;<\/p>\r\n<p>&nbsp;<\/p><!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"Q1.\u00a0 \u00a0[N10.P2] The diagram shows the graph of a linear function \u00a0and a quadratic function \u00a0 On the same axes sketch the graph of fg . Indicate clearly where the x-intercept and the asymptotes occur.\u00a0 \u00a0[5 marks] &nbsp; Q2.\u00a0 \u00a0[M08.P2.TZ2] The graph of\u00a0 y=fx for &#8211;2&#8804;x&#8804;8 is shown. On the set of axes provided, sketch [&hellip;]<!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt -->","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-1111","knowledgebase","type-knowledgebase","status-publish","hentry","knowledgebase_cat-transformation","no-wpautop"],"_links":{"self":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/1111","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase"}],"about":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/types\/knowledgebase"}],"author":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/comments?post=1111"}],"version-history":[{"count":18,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/1111\/revisions"}],"predecessor-version":[{"id":1156,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/1111\/revisions\/1156"}],"wp:attachment":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/media?parent=1111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}